Accession Number : AD0710754

Title :   THE INFINITE SERVER QUEUE WITH SEMI-MARKOVIAN ARRIVALS AND NEGATIVE EXPONENTIAL SERVICES.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Neuts,Marcel F. ; Shun-Zer Chen,

Report Date : JUL 1970

Pagination or Media Count : 22

Abstract : The queue with an infinite number of servers with a semi-Markovian arrival process and with negative exponential service times is studied. The queuelength process and the type of the last customer to join the queue before time t are studied jointly, both in continuous and in discrete time. Asymptotic results are also obtained. (Author)

Descriptors :   (*QUEUEING THEORY, STOCHASTIC PROCESSES), ASYMPTOTIC SERIES, MATRICES(MATHEMATICS), PROBABILITY, EXPONENTIAL FUNCTIONS, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE